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In a school of 300 students, 105 students are in the band, 175 students are on sports teams, and 45 participate in both activities. How many students do not participate in band or sports?
How many mare gallons of water will it take to fill the tank?
How many new books of each type should be published to maximize the annual profit while conforming to company policy?
A statistic professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50 and 52 minutes. Find the probability that a given class period runs less than 50.75 minutes.
What is the probability density function for the lifetime of the machine assuming that it will only function if all 10 components are working. The pdf for one component is f(x)=Ax(12-x) for 0
Find (partial z)/(partial u)( and ) (partial z)/(partial v) using the chain rule. Assume the variables are restricted to domains on which the functions are defined. Your answers should be in terms of u and v.
Determine the whole number of standard deviations that includes all data values.
For each of the following properties, find a binary relation R such that R has that property but R^2 (R squared) does not:
Find the force exerted by the water against the gate (w = 62.4).
Probability : Expected Values and Probability Distributions - According to an automobile manufacturer, the company uses 3,000 lock-and-key combinations on it's vehicles
Determine whether A=B , if A is a subset of set B, if set B is a subset is a subset of A, if set A is a proper subset of set B, if set B is a proper subset of set A , or if none of these applies.
Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing. What would be the difficulties associated with modeling this situation?
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
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